Pith Number

pith:XFWFT5KD

pith:2018:XFWFT5KDLGCAQ2NUBU2SOEWSVP

not attested not anchored not stored refs pending

Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy

Alfredo P\'erez, Dmitry Melnikov, F\'abio Novaes, Ricardo Troncoso

arxiv:1808.04034 v2 · 2018-08-13 · hep-th · gr-qc · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFWFT5KDLGCAQ2NUBU2SOEWSVP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:43:17.711341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96c59f54359840869b40d352712d2abfbec16cb54221efc53af815dd9a3f756

Aliases

arxiv: 1808.04034 · arxiv_version: 1808.04034v2 · doi: 10.48550/arxiv.1808.04034 · pith_short_12: XFWFT5KDLGCA · pith_short_16: XFWFT5KDLGCAQ2NU · pith_short_8: XFWFT5KD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XFWFT5KDLGCAQ2NUBU2SOEWSVP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b96c59f54359840869b40d352712d2abfbec16cb54221efc53af815dd9a3f756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ff54cff69f6bb93204178c64f06d52ecc1da29285e29ab116b95a38c75e921",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-08-13T01:31:05Z",
    "title_canon_sha256": "b6b2088c8319ecf4b46846dc131fffd9119bd1027ac816519d91ab78e9e36033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04034",
    "kind": "arxiv",
    "version": 2
  }
}